Applied Mathematics & Information Sciences

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This paper addresses a novel structure of continuous static games (CSGs) called hybrid continuous static games (HCSG). These types of games are based on the fact that the game is presented as a hybrid game between multiple players playing independently using Nash equilibrium solutions (NES) and others playing according to a secure concept using Min-Max solutions (MMS). A Nash Min-Max approach was established to solve such genre games. Also, an algorithm for solving Nash Min-Max hybrid continuous static games (NMMHCSG) has been outlined in clear steps. Moreover, a realistic application of four firms selling replaceable products and seeking to maximize their profits was presented to demonstrate the steps of the algorithm.

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